{ "id": "1207.3325", "version": "v1", "published": "2012-07-13T18:34:48.000Z", "updated": "2012-07-13T18:34:48.000Z", "title": "Construction of Lax Connections by Exponentiation", "authors": [ "Niklas Beisert", "Florian Luecker" ], "comment": "17 pages", "journal": "J. Math. Phys. 53, 122304 (2012)", "doi": "10.1063/1.4769824", "categories": [ "math-ph", "hep-th", "math.MP" ], "abstract": "We propose a method for constructing the Lax connection of two-dimensional relativistic integrable sigma models on coset spaces by means of exponentiation of a suitable operator. We derive a simple quadratic relation that this operator must satisfy for an entire one-parameter family of connections to be flat.", "revisions": [ { "version": "v1", "updated": "2012-07-13T18:34:48.000Z" } ], "analyses": { "subjects": [ "11.10.Cd", "11.10.Lm" ], "keywords": [ "lax connection", "exponentiation", "construction", "two-dimensional relativistic integrable sigma models", "simple quadratic relation" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2012, "month": "Dec", "volume": 53, "number": 12, "pages": 2304 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1122571, "adsabs": "2012JMP....53l2304B" } } }